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Articles

Effect of rotation on Rayleigh waves in magneto-thermoelastic transversely isotropic medium with thermal relaxation times

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Pages 1485-1507 | Received 05 Jun 2017, Accepted 27 Jun 2017, Published online: 17 Jul 2017

References

  • Lord HW, Shulman Y. A generalized dynamical theory of thermoelasticity. J Mech Phys Solid. 1967;15:299–309.10.1016/0022-5096(67)90024-5
  • Green AE, Lindsay KA. Thermoelasticity. J Elasticity. 1972;2:1–7.10.1007/BF00045689
  • Green AE, Naghdi PM. A re-examination of the basic postulates of thermomechanics. Proc Royal Soc London Ser A. 1991;432:171–194.10.1098/rspa.1991.0012
  • Green AE, Naghdi PM. On damped heat waves in an elastic solid. J Therm Stresses. 1992;15:252–264.
  • Green AE, Naghdi PM. Thermoelasticity without energy dissipation. J Elast. 1993;31:189–208.10.1007/BF00044969
  • Tzou DY. A unique field approach for heat conduction from macro to micro scales. J Heat transfer. 1995;117:8–16.10.1115/1.2822329
  • Roy Choudhuri SK. On a thermoelastic three-phase-lag model. J Therm Stresses. 2007;30:231–238.10.1080/01495730601130919
  • Rayleigh WS. On waves propagating along the plane surface of an elastic solid. Proc Land Math Soc. 1887;17:4–11.
  • Bromwich TJ. On the influence of gravity on elastic waves, and, in particular on the vibrations of an elastic globe. Proc London Math Soc. 1898;1:98–120.10.1112/plms/s1-30.1.98
  • Buchwald VP. Rayleigh waves in transversely isotropic media. Q J Mech Appl Math. 1961;14:293–318.10.1093/qjmam/14.3.293
  • Abd-Alla AM. Propagation of Rayleigh waves in an elastic half-space of orthotropic material. Appl Math Comput. 1999;99:81–89.
  • Symge JL. Elastic waves in anisotropic media. J Math Phys. 1957;41:323–334.
  • Sharma JN, Singh D, Kumar R. Generalized thermoelastic waves in transversely isotropic plates. Indian J Pure Appl Math. 2003;34:841–852.
  • Abd-Alla AM, Abo-Dahab SM, Hammad HAH. Propagation of Rayleigh waves in generalized magneto-thermoelastic orthotropic material under initial stress and gravity field. Appl Math Model. 2011;35:2981–3000.10.1016/j.apm.2010.11.067
  • Sharma JN, Kaur D. Rayleigh waves in rotating thermoelastic solids with voids. Int J Appl Math Mech. 2010; 6(3):43–61.
  • Sharma JN, Singh H. Thermoelastic surface waves in a transversely isotropic half space with thermal relaxations. Indian J Pure Appl Math. 1985;16(10):1202–1212.
  • Singh B, Kumari S, Singh J. Propagation of the Rayleigh wave in an initially stressed transversely isotropic dual phase lag magneto-thermoelastic half space. J Eng Phys Thermophys. 2014;87(6):1539–1547.10.1007/s10891-014-1160-8
  • Biswas S, Mukhopadhyay B, Shaw S. Rayleigh surface wave propagation in orthotropic thermoelastic solids under three-phase-lag model. J Therm Stresses. 2017;40(4):403–419.10.1080/01495739.2017.1283971
  • Biswas S, Mukhopadhyay B, Shaw S. Thermal shock response in magneto-thermoelastic orthotropic medium with three-phase-lag model. J Electromagn Waves Appl. 2017;31(9):879–897. DOI:10.1080/09205071.2017.1326851.
  • Schoenberg M, Censor D. Elastic waves in rotating media. Q J Mech Appl Mech. 1973;31:115–125.
  • Puri P, Cowin SC. Plane waves in linear elastic materials with voids. J Elast. 1985;15:167–183.10.1007/BF00041991
  • Kolsky H. Stress waves in solids. New York (NY): Dover press; 1963.
  • Nowinski JL. Theory of thermoelasticity with applications. Mechanics of surface structures. 1978.10.1007/978-94-009-9929-9
  • Hawwa MA, Nayfeh AH. The general problem of thermoelastic waves in anisotropic periodically laminated composites. Compos Eng. 1995;5(12):1499–1517.10.1016/0961-9526(95)00087-4

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